The forward, signed from Hartlepool United last summer netted a long range effort with a spectacular shot on 25 minutes, which proved to be the game’s only goal.
United had further opportunities to extend the lead but neither Basham, Slater nor Lavery could tuck them away.
The hosts, who now haven’t won an FA Cup tie since January 2010 failed to record a shot on target but came close in the final minutes as Chambers headed wide of the mark.
They also had a penalty appeal turned down in the first half, claiming that the ball struck Lavery’s arm but referee Jones waved an appeals away.